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A new smoothness indicator for improving the weighted essentially non-oscillatory scheme
Fan P; Shen YQ(申义庆); Tian BL; Yang C; Fan, P (reprint author), Chinese Acad Sci, Inst Proc Engn, Beijing 100190, Peoples R China.
Source PublicationJournal of Computational Physics
2014-06-15
Volume269Pages:329-354
ISSN0021-9991
AbstractIn this work, a new smoothness indicator that measures the local smoothness of a function in a stencil is introduced. The new local smoothness indicator is defined based on the Lagrangian interpolation polynomial and has a more succinct form compared with the classical one proposed by Jiang and Shu [12]. Furthermore, several global smoothness indicators with truncation errors of up to 8th-order are devised. With the new local and global smoothness indicators, the corresponding weighted essentially non-oscillatory (WENO) scheme can present the fifth order convergence in smooth regions, especially at critical points where the first and second derivatives vanish (but the third derivatives are not zero). Also the use of higher order global smoothness indicators incurs less dissipation near the discontinuities of the solution. Numerical experiments are conducted to demonstrate the performance of the proposed scheme. (C) 2014 Elsevier Inc. All rights reserved.
KeywordWeno Scheme Smoothness Indicator Hyperbolic Conservation Law Euler Equation
Subject AreaComputer Science ; Physics
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Indexed BySCI
Language英语
WOS IDWOS:000335439300019
Funding OrganizationThis work is supported by the NSFC (11172299), 973 Program (2012CB224806), CAS Program for Cross & Cooperative Team of the Science & Technology Innovation, and the National Natural Science Foundation of China (21376243) The helpful comments from the anonymous reviewers are also appreciated.
DepartmentLHD气动布局优化与计算方法
Classification一类
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Cited Times:44[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/48865
Collection高温气体动力学国家重点实验室
Corresponding AuthorFan, P (reprint author), Chinese Acad Sci, Inst Proc Engn, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Fan P,Shen YQ,Tian BL,et al. A new smoothness indicator for improving the weighted essentially non-oscillatory scheme[J]. Journal of Computational Physics,2014,269:329-354.
APA Fan P,申义庆,Tian BL,Yang C,&Fan, P .(2014).A new smoothness indicator for improving the weighted essentially non-oscillatory scheme.Journal of Computational Physics,269,329-354.
MLA Fan P,et al."A new smoothness indicator for improving the weighted essentially non-oscillatory scheme".Journal of Computational Physics 269(2014):329-354.
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